is regular in the disc|ζ|<ϱζϱ|\zeta|<\varrho. Accordingly we can define that the function www is regular at infinity also.

For example, w⁢(z):=1zassignwz1z\displaystyle w(z)\;:=\;\frac{1}{z} is regular at the pointz=∞zz=\infty and w⁢(∞)=0w0w(\infty)=0. Similarly, e1zsuperscripte1ze^{{\frac{1}{z}}} is regular at ∞\infty and has there the value 1.